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Volumn 34, Issue 3, 2005, Pages 585-596

An extension of the Metropolis algorithm

Author keywords

Acceleration; Markov chain Monte Carlo; Metropolis algorithm; Rate of convergence; Risk domination; Variance reduction

Indexed keywords

METROPOLIS ALGORITHMS; RATE OF CONVERGENCE; RISK DOMINATION; VARIANCE REDUCTION;

EID: 17044409780     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1081/STA-200052116     Document Type: Article
Times cited : (1)

References (22)
  • 1
    • 0002519625 scopus 로고
    • Nonlocal Monte Carlo algorithms for self-avoiding walks with fixed endpoints
    • Caracciolo, S., Pelissetto, A., Sokal, A. D. (1990). Nonlocal Monte Carlo algorithms for self-avoiding walks with fixed endpoints. J. Statist. Phys. 60:1-53.
    • (1990) J. Statist. Phys. , vol.60 , pp. 1-53
    • Caracciolo, S.1    Pelissetto, A.2    Sokal, A.D.3
  • 2
    • 0041757402 scopus 로고    scopus 로고
    • Statistical inference and Monte Carlo algorithms
    • Casella, G. (1996). Statistical inference and Monte Carlo algorithms (with comments). Test 5:249-344.
    • (1996) Test , vol.5 , pp. 249-344
    • Casella, G.1
  • 3
    • 0002205556 scopus 로고    scopus 로고
    • Rao-Blackwellisation of sampling schemes
    • Casella, G., Robert, C. P. (1996). Rao-Blackwellisation of sampling schemes. Biometrika 83:81-94.
    • (1996) Biometrika , vol.83 , pp. 81-94
    • Casella, G.1    Robert, C.P.2
  • 4
    • 0000255332 scopus 로고
    • Comparison techniques for reversible Markov chains
    • Diaconis, P., Saloff-Coste, L. (1993). Comparison techniques for reversible Markov chains. Ann. Appl. Prob. 3:696-730.
    • (1993) Ann. Appl. Prob. , vol.3 , pp. 696-730
    • Diaconis, P.1    Saloff-Coste, L.2
  • 5
    • 0032136909 scopus 로고    scopus 로고
    • What do we know about the Metropolis algorithm
    • Diaconis, P., Saloff-Coste, L. (1998). What do we know about the Metropolis algorithm. J. Comput. Sys. Sci. 57:20-36.
    • (1998) J. Comput. Sys. Sci. , vol.57 , pp. 20-36
    • Diaconis, P.1    Saloff-Coste, L.2
  • 6
    • 0002740591 scopus 로고
    • Geometric bounds for eigenvalues of Markov chains
    • Diaconis, P., Stroock, D. (1991). Geometric bounds for eigenvalues of Markov chains. Ann. Appl. Prob. 1:36-61.
    • (1991) Ann. Appl. Prob. , vol.1 , pp. 36-61
    • Diaconis, P.1    Stroock, D.2
  • 8
    • 0002590276 scopus 로고
    • Eigenvalue bounds on convergence to stationary for nonreversible Markov chains with an application to the exclusion process
    • Fill, J. (1991). Eigenvalue bounds on convergence to stationary for nonreversible Markov chains with an application to the exclusion process. Ann. Appl. Prob. 1:62-87.
    • (1991) Ann. Appl. Prob. , vol.1 , pp. 62-87
    • Fill, J.1
  • 9
    • 0039092032 scopus 로고
    • Optimal spectral structure of reversible stochastic matrices, Monte Carlo methods and the simulation of Markov random fields
    • Frigessi, A., Hwang, C. R., Younes, L. (1992). Optimal spectral structure of reversible stochastic matrices, Monte Carlo methods and the simulation of Markov random fields. Ann. Appl. Prob. 2:610-628.
    • (1992) Ann. Appl. Prob. , vol.2 , pp. 610-628
    • Frigessi, A.1    Hwang, C.R.2    Younes, L.3
  • 10
    • 77956890234 scopus 로고
    • Monte Carlo sampling method using Markov chains and their applications
    • Hastings, W. K. (1970). Monte Carlo sampling method using Markov chains and their applications. Biometrika 57:97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 11
    • 0004151494 scopus 로고
    • Cambridge: Cambridge University Press
    • Horn, R., Johnson, C. (1985). Matrix Analysis. Cambridge: Cambridge University Press.
    • (1985) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 12
    • 0008766414 scopus 로고    scopus 로고
    • Peskun's theorem and a modified discrete-state Gibbs sampler
    • Liu, J. S. (1996). Peskun's theorem and a modified discrete-state Gibbs sampler. Biometrika 83:681-682.
    • (1996) Biometrika , vol.83 , pp. 681-682
    • Liu, J.S.1
  • 13
    • 0000854270 scopus 로고
    • Correlation structure and convergence rate of the Gibbs sampler with various scans
    • Liu, J. S., Wong, W. H., Kong, A. (1994). Correlation structure and convergence rate of the Gibbs sampler with various scans. J. Roy. Statist. Soc. Ser. B 57:157-169.
    • (1994) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 157-169
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 15
    • 0042193001 scopus 로고    scopus 로고
    • Ordering and improving the performance of Monte Carlo Markov Chains
    • Mira, A. (2001a). Ordering and improving the performance of Monte Carlo Markov Chains. Statist. Sci. 16:340-350.
    • (2001) Statist. Sci. , vol.16 , pp. 340-350
    • Mira, A.1
  • 16
    • 84891435216 scopus 로고    scopus 로고
    • On Metropolis-Hasting algorithms with delayed rejection
    • Mira, A. (2001b). On Metropolis-Hasting algorithms with delayed rejection. Metron 59(3-4): 231-241.
    • (2001) Metron , vol.59 , Issue.3-4 , pp. 231-241
    • Mira, A.1
  • 17
    • 0036005408 scopus 로고    scopus 로고
    • Efficiency and convergence properties of slice samplers
    • Mira, A., Tierney, L. (2001). Efficiency and convergence properties of slice samplers. Scand. J. Statist. 29:1035-1053.
    • (2001) Scand. J. Statist. , vol.29 , pp. 1035-1053
    • Mira, A.1    Tierney, L.2
  • 18
    • 0015730787 scopus 로고
    • Optimum Monte Carlo sampling using Markov chains
    • Peskun, P. H. (1973). Optimum Monte Carlo sampling using Markov chains. Biometrika 60:607-612.
    • (1973) Biometrika , vol.60 , pp. 607-612
    • Peskun, P.H.1
  • 19
    • 17044382068 scopus 로고
    • On the rate of convergence for countable Markov chains
    • Popov, N. N. (1979). On the rate of convergence for countable Markov chains. Theor. Probab. Applic. 24:401-405.
    • (1979) Theor. Probab. Applic. , vol.24 , pp. 401-405
    • Popov, N.N.1
  • 20
    • 0001096889 scopus 로고
    • Minorization conditions and convergence rates for Monte Carlo Markov chains
    • Rosenthal, J. S. (1995). Minorization conditions and convergence rates for Monte Carlo Markov chains. J. Amer. Statist. Assoc. 23:740-761.
    • (1995) J. Amer. Statist. Assoc. , vol.23 , pp. 740-761
    • Rosenthal, J.S.1
  • 21
    • 0000576595 scopus 로고
    • Markov chains for exploring posterior distributions
    • Tierney, L. (1994). Markov chains for exploring posterior distributions. Ann. Statist. 22:1701-1762.
    • (1994) Ann. Statist. , vol.22 , pp. 1701-1762
    • Tierney, L.1
  • 22
    • 0032382065 scopus 로고    scopus 로고
    • A note on Metropolis Hastings kernels for general state spaces
    • Tierney, L. (1998). A note on Metropolis Hastings kernels for general state spaces. Ann. Appl. Probab. 8:1-9.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 1-9
    • Tierney, L.1


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